If the lengths of the sides of a square are reduced to 1/6 of their original length, what fraction of the original area is the new area?

Answer:

50 kg of green tea leaves and 50 kg of assam black tea leaves.

Step-by-step explanation:

Let x kg be the amount of green tea and y kg be the amount of Assam tea.

x+y=100 (1) [mass]

price for 1 kg of assam tea= 7.20/600×1000g

= $12/kg

total cost= 100×10

= $1000

8x+12y= 1000 (2) [cost]

(1)×8: 8x+8y= 800 (3)

(2)-(3): (8x+12y)-(8x+8y)= 1000-800

4y= 200

y= 50 (4)

sub (4) into (1):

x+50= 100

x= 50

(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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Answer:

28

Step-by-step explanation:

Answer: 389

Step-by-step explanation: because I’m heading

Answer:

1. B

2. E

3. D

4. B

5. C

6. B

7. E

8. D

9. D

10.D

11. E

We need to consider that each kitten is fed half as much as a full-grown cat. Let's assume the amount of cat food needed for a full-grown cat is x pounds. In that case, each kitten would require x/2 pounds of cat food.

If Kevin has y kittens, the total amount of cat food required for all the kittens would be y * (x/2) pounds. Since we know that Kevin has 3.51 pounds of cat food available, we can set up the equation:

3.51 = y * (x/2)

To find the number of kittens, we need to know the specific amount of cat food needed for a full-grown cat (x). Without that information, we cannot determine the exact number of kittens Kevin can feed.

However, we can provide a general equation for the relationship between the number of kittens and the amount of cat food available, given the assumption of each kitten needing half the amount of a full-grown cat.

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Answer:

y = 5x + 3

Step-by-step explanation:

You could also plot a line on a graph with this equation to help you even more.

Their sum plus their product has a maximum potential value of 420.

Given that the product of the two positive numbers and their sum is 39.

The highest feasible value of the total of their products must be determined.

Let's tackle this issue step-by-step:

Assume x and y are the two positive integers.

The product's sum is xy, while the two integers' sum is x + y.

The answer to the issue is 39, which is the product of the two integer sums and their sum.

\(\mathrm{xy + (x + y) = 39}\)

We need to maximize the value of to discover the biggest feasible value of the product of their sum and their product \(\mathrm {(x + y) \times xy}\).

Now, we can proceed to solve the equation:

\(\mathrm {xy + x + y = 39}\)

To make it easier to solve, we can use a technique called "completing the square":

Add 1 to both sides of the equation (1 is added to "complete the square" on the left side):

\(\mathrm {xy + x + y + 1 = 39 + 1}\)

Rearrange the terms on the left side to form a perfect square trinomial:

\(\mathrm{(x + 1)(y + 1) = 40}}\)

\(\mathrm{(x + 1)(y + 1) = 2 \times 2 \times 2 \times 5 }}\)

Now, we want to maximize the value of \(\mathrm {(x + y) \times xy}\), which is equal to \(\mathrm{(x + 1)(y + 1) + 1}\)

Finding the two positive numbers (x and y) whose sum is as close as feasible to the square root of 40, or around 6.3246, is necessary to maximize this value.

The two positive integers whose sum is closest to 6.3246 are 5 and 7, as 5 + 7 = 12, and their product is 5 × 7 = 35.

Finally, \(\mathrm {(x + y) \times xy}\)

= \((5 + 7) \times 5 \times 7\)

= 12 × 35

= 420

So, the largest possible value is 420.

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From greatest to least, the sides of the triangle are: b. ST, RS, TR.

In a triangle, the side opposite the largest angle is the longest side and the side opposite the smallest angle is the shortest side. Also, the side opposite the middle-sized angle is the medium-length side.

Therefore:

m<S = 20°, and is opposite to side TR.

m<T = 40°, and is opposite to side RS.

m<R = 180 - 40 - 20 = 120°, and is opposite to side ST.

Therefore, the order from greatest to least is: b. ST, RS, TR.

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Answer:

about 2.253 centimeters

Step-by-step explanation:

Answer:

Number of push up = 8 + 2x

Step-by-step explanation:

Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:

Number of push up = 8 + 2x

where x is the number of days.

To do 30 push ups, we can calculate the number of days needed:

30 = 8 + 2x

2x = 30 - 8

2x = 22

x = 11

Answer:

8+2x its from khan academy

Step-by-step explanation:

give person above brainliest :)

The Root cause analysis uses one of the following techniques is (D) Ishikawa diagram.

The Root cause analysis is a problem-solving technique that aims to identify the underlying reasons or causes of a particular problem or issue.

It helps in identifying the root cause of a problem by breaking it down into its smaller components and analyzing them using a systematic approach.

The Ishikawa diagram, also known as a fishbone diagram or cause-and-effect diagram, is one of the most widely used techniques for conducting root cause analysis.

It is a visual tool that helps in identifying the possible causes of a problem by categorizing them into different branches or categories.

The Ishikawa diagram can be used in various industries, including manufacturing, healthcare, and service industries, and can help in improving processes, reducing costs, and increasing efficiency.

In summary, the root cause analysis technique uses the Ishikawa diagram to identify the underlying reasons for a particular problem.

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Answer:

3. The tree increased in height each month until the time period between month 9 and month 11.

The statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.

It should be noted that a table simply means a list of numbers to that depicts a particular information.

In this case, the statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.

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Answer:

A. ASA

Step-by-step explanation:

There are two angles and sides marked as congruent\

The angles in the middle are congruent by the Vertical Angles Theorem

They have congruent side with congruent angles adjacent so it's Angle Side Angle

Answer:

2:5

Step-by-step explanation:

22/11=2

55/11=5

so 2:5

Answer:

2:5

Step-by-step explanation:

To simplify the ratio 22:55, we find the greatest common divisor of 22 and 55, and then we divide 22 and 55 by the greatest common divisor.The greatest common divisor that you can use to simplify 22:55 is 11. This means the answer to ratio 22:55 simplified is:2:5

The root of the equation e^(-x^2) - x^3 = 0, using the Newton-Raphson algorithm with three iterations from the starting point x0 = 1, is approximately x ≈ 0.908.

To find the root of the equation using the Newton-Raphson algorithm, we start with an initial guess x0 = 1 and perform three iterations. In each iteration, we use the formula:

xᵢ₊₁ = xᵢ - (f(xᵢ) / f'(xᵢ))

where f(x) = e^(-x^2) - x^3 and f'(x) is the derivative of f(x). We repeat this process until we reach the desired accuracy or convergence.

After performing the calculations for three iterations, we find that x ≈ 0.908 is a root of the equation. The algorithm refines the initial guess by using the function and its derivative to iteratively approach the actual root.

To estimate the error in the Newton-Raphson method, we can use the formula:

ε ≈ |xₙ - xₙ₋₁|

where xₙ is the approximation after n iterations and xₙ₋₁ is the previous approximation. In this case, since we have performed three iterations, we can calculate the error as:

ε ≈ |x₃ - x₂|

This will give us an estimate of the difference between the last two approximations and indicate the accuracy of the final result.

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Answer:

Thanks Lol

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

This function places the parabola above the x axis, so there are no x intercepts

Answer:

B - No solution

Step-by-step explanation:

This equation does not have a x-intercept, making this an equation with no solution.

The value of n in the given equation, 5⁸ = 5ⁿ · 5⁴, is 4

From the question, we are to determine the value of n in the given equation.

From the given information,

The given equation is

5⁸ = 5ⁿ · 5⁴

This can be written as

5⁸ = 5ⁿ × 5⁴

By applying the multiplication law of indices, we get

5⁸ = 5ⁿ ⁺ ⁴

Since the bases are equal, we can equate the powers

8 = n + 4

Now,

Solve the linear equation for n

8 = n + 4

Subtract 4 from both sides of the equation

8 - 4 = n + 4 - 4

4 = n

Therefore,

n = 4

Hence, the value of n is 4

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Answer:

The image is not clear but get the idea

Answer: The degree of f(x) is odd and the leading coefficient positive There are 4 distinct real zeros and 2 relative minimum values.

Step-by-step explanation:

The shape of a distribution does not necessarily indicate whether it has a lower or higher value.

When analyzing data, the shape of a distribution refers to the pattern or arrangement of the data points. Common shapes include symmetrical distributions (such as the normal distribution), skewed distributions (where the data is asymmetrically distributed), and bimodal distributions (with two distinct peaks). However, the shape of a distribution does not provide direct information about the actual values or magnitudes within the distribution.

To determine if a distribution has lower or higher values, it is necessary to examine specific data points or summary statistics such as the mean, median, or range. These measures provide insights into the central tendency and variability of the data, helping to assess whether values are relatively lower or higher compared to other data points. Therefore, the shape of a distribution alone does not indicate the magnitude or scale of the values it represents.

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The y-coordinate for the solution to the system of equations is 6.

Equation is a physical and mathematical statement the describing physical phenomenon the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable maybe pointed search is the energy.

The y-coordinate for the solution to the system of equations is 6. This is calculated by substituting the given y-value (2/3) into the equation -x+3y=9 and solving for x. Specifically, -x+3(2/3) = 9, which reduces to -x = 3. Therefore, x = -3 and substituting this value into the first equation yields 3y = 9, which simplifies to y = 3. Therefore, the y-coordinate for the solution to the system of equations is 6.

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Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

The measure of angles of intersecting lines are solved

Given data ,

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

a)

The total measure of angles = 90°

So , ( x + 16 )° + ( 3x + 2 )° = 90°

On simplifying , we get

4x + 18 = 90

Subtracting 18 on both sides , we get

4x = 72

Divide by 4 on both sides , we get

x = 18

Therefore , the angles are solved

b)

The angles on a straight line is supplementary = 180°

So , 3x° + 84° = 180°

Subtracting 84° on both sides , we get

3x = 96°

Divide by 3 on both sides , we get

x = 32

Therefore , the angles are solved

c)

The angles on a straight line is supplementary = 180°

So , ( 6x + 3)° + 87° = 180°

Subtracting 87° on both sides , we get

( 6x + 3)° = 93°

Subtracting 3 on both sides , we get

6x = 90

Divide by 6 on both sides , we get

x = 15

Therefore , the angles are solved

d)

The Opposite angles are congruent

So , 63° = 4x + 3

Subtracting 3 on both sides , we get

4x = 60

x = 15

Hence , the angles of intersecting lines are solved

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The first integral to evaluate the volume of the tetrahedron is \(\int\limits\int\limits \int\limits R dV\). The integral that represents the volume in the order dx dy dz is \(\int\limits\int\limits \int\limits R dz dy dx\).

(a) Evaluating the integral ∫∫∫ R dV:

The limits of integration for z will be determined by the intersection of the plane and the coordinate axes. When x = 0 and y = 0, we have 12(0) + 4(0) + 3z = 12, which gives z = 4. When z = 0, we have 12x + 4y + 3(0) = 12, which gives 12x + 4y = 12. Dividing by 4, we get 3x + y = 3, which represents the line in the xy-plane.

To find the limits of integration for y, we need to consider the bounds of this line. When x = 0, we have y = 3; when x = 1, we have y = 0.

Finally, the limits of integration for x will be 0 to 1, as we are in the first octant.

So, the first integral to evaluate the volume is \(\int\limits^1_0 \int\limits^0_3 \, \int\limits^{({12-3x-4y} )}_4 \, dz dy dx.\)

(b) Writing the integral in the order dx dy dz:

The limits of integration for x will be determined by the intersection of the plane and the coordinate axes.

When y = 0 and z = 0, we have 12x + 4(0) + 3(0) = 12, which gives x = 1.

When x = 0, we have 12(0) + 4y + 3z = 12, which gives 4y + 3z = 12.

Dividing by 4, we get \(y + (\frac{3}{4})z = 3\), which represents the line in the yz-plane.

To find the limits of integration for y, we need to consider the bounds of this line. When z = 0, we have y = 3; when z = 4, we have y = 0.

Finally, the limits of integration for z will be 0 to 4, as we are in the first octant. Therefore, the integral that represents the volume in the order dx dy dz is:

\(\int\limits^1_0\int\limits^{4(1-(3/4)z}_{3}\int\limits^{12-4y-(3/4)z}_0 \, dx dy dz\).

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Answer:

x = 6

Step-by-step explanation:

find the x value for one triangle then times it by 2

Pythagorean Theorem: \(a^{2}+b^{2}=c^{2}\)

\(c=\sqrt{13}\)

\(a=2\)

Square c and subtract a from it.

\(13-4 = 9\)

square root 9 to get have of the x value, then multiply it by 2

\(2\sqrt{9}=6\)

\(x=6\)

Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Answer:

C: 23 centimeters

Step-by-step explanation:

Formula for the Area of a trapezoid is top base + bottom base divide by 2 then multiply the height.

8+14 is 22 divide that by 2 would equal 11.

11 times 23 equals 253

Answer:

LM = 20

LN = 160/7

Step-by-step explanation:

If M is between L and N, then LM = MN

Given

LM = 7x + 4, MN = 20, LN = 10x

7x+4 = 20

7x = 20 - 4

7x = 16

x = 16/7

LM = 16/7(7) + 4

LM = 16 + 4

LM = 20

LN = 10x

LN = 10(16/7)

LN = 160/7